516333466134 has 96 divisors (see below), whose sum is σ = 1208398988160. Its totient is φ = 158802249600.

The previous prime is 516333466123. The next prime is 516333466139. The reversal of 516333466134 is 431664333615.

It is a happy number.

516333466134 is a `hidden beast` number, since 5 + 1 + 633 + 3 + 4 + 6 + 6 + 1 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 516333466134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516333466139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8199549 + ... + 8262279.

It is an arithmetic number, because the mean of its divisors is an integer number (12587489460).

Almost surely, 2^516333466134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516333466134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604199494080).

516333466134 is an abundant number, since it is smaller than the sum of its proper divisors (692065522026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516333466134 is a wasteful number, since it uses less digits than its factorization.

516333466134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63386 (or 63383 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

Adding to 516333466134 its reverse (431664333615), we get a palindrome (947997799749).

The spelling of 516333466134 in words is "five hundred sixteen billion, three hundred thirty-three million, four hundred sixty-six thousand, one hundred thirty-four".